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Finding the Fourth Proportional to 221,097.96, 331,565.34 and 78,905.19

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Solution

The fourth proportional to 221,097.96, 331,565.34 and 78,905.19 is: 118,328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,097.96 : 331,565.34 = 78,905.19 : x
  2. Step 2: Convert to fraction form
    221,097.96/331,565.34 = 78,905.19/x
  3. Step 3: Cross multiply
    221,097.96x = 331,565.34 × 78,905.19
  4. Step 4: Simplify right side
    221,097.96x = 26,162,226,150.11
  5. Step 5: Solve for x
    x = 26,162,226,150.11/221,097.96
  6. Step 6: Final answer
    x = 118,328.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.